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3 years ago

Use the information given to enter an equation in standard form.

Mathematics

1 answer:

grin007 [14]3 years ago

6 0

Answer:

6x - 5y = -5

Step-by-step explanation:

Your FIRST goal is to fill out y = mx + b with the values of m (your slope) and b (your y-intercept). First, find m by dividing the change in y in the two points given by their change in x. (43 - 31)/(35-25) = 12/10 = 6/5. Plug this in immediately for a "placeholder equation" of y = 6/5x + b, which you can plug either of your points into and solve for b.

43 = 6/5(35) + b

43 = 42 + b

1 = b

Your SLOPE-INTERCEPT equation is y = 6/5x + 1. However, you were asked for standard form. This means you must convert into ax + by = c, where a b and c are all whole numbers, and a is positive.

y = 6/5x + 1

-6/5x + y = 1

6/5x - y = -1

6x - 5y = -5, and this is your final answer.

Let me know if you need a more in-depth explanation on any part of this!

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If (20,8) and (25, 10) belong to a proportional relationship, what is the constant of proportionality

Ira Lisetskai [31]

Answer:

The proportionality constant is 2/5

Step-by-step explanation:

Here, we want to get the proportionality constant

Let us view the two points as being points on a line

The constant of proportionality will be the slope of the line that connects the two points

Mathematically, we can use the formula for the slope of a line

We have this as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (20,8)

(x2,y2)= (25,10)

m = (10-8)/(25-20) = 2/5

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3 years ago

At track practice, Sean ran 4 and 2/8 miles on Monday and 2 and 3/8 miles on Tuesday. If his goal is to run a total of 10 miles

kompoz [17]

Answer:

3 1/8

Step-by-step explanation:

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3 years ago

I need to know Simplify 2a + 8(b + a) is

KonstantinChe [14]

HELLO !

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4 years ago

Pepsi [2]

Answer:

(a)Attached

(b)69 degrees

(b)The ladder is safe

Step-by-step explanation:

(a)See attached diagram

The wall is length |AB| and the ladder is length |AC|

(b)

$sin \theta =\dfrac{|AB|}{|AC|} \\sin \theta =\dfrac{14}{15}\\\theta=arcsin (\dfrac{14}{15})\\\theta=69^\circ$

(c)Jamie wants the angle of the ladder makes with the ground to be no greater than 75 degrees for safety reasons.

Since the angle formed between the ground and the ladder (69 degrees) is less than 75 degrees, the ladder is safe the way it is positioned.

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3 years ago

Use the the image below to determine the angle type, relationship, value of x, and the missing angle measures.

Alexeev081 [22]

Answer:

Name: alternate exterior angles

Relationship: they are congruent. (15x + 5)° = (14x + 11)

Value of x: 6

Missing angle measures: 95°

6 0

3 years ago